Still, there was a report of two men walking on a back road in a driving rainstorm about 40 miles from the prison early Tuesday, prompting a flood of police to that area, sources told The Post.

State police swarmed the tiny town of Willsboro after locals reported spotting the two pedestrians there, officials said.

While Willsboro would be an arduous hike southeast of the prison, several commercial rail lines connect the areas.

The suspicious pair were seen on Middle Road near State Route 22 at 2 a.m., according to Town Supervisor Shaun Gillilland.

“It’s a very rural road with [nothing but] a bunch of farms, and we had a tremendous volume of rain last night,” he said.

State police, Essex County sheriff’s deputies and investigators with the state Department of Corrections rushed to the scene to scope out the area, authorities said.

Schools remained in session in Willsboro on Tuesday.

“I guess it’s just a little bit of caution, but no one here is overreacting,” Gillilland said.

The Clinton Correctional FacilityGov. Andrew Cuomo examines the escape route by which the two murderers fled.Getty ImagesPolice officers search a property near the Clinton Correctional Facility on June 8.Reuters

The developments came as two Dannemora residents described their run-in with a pair of suspicious men in their back yard just after the prison break early Saturday.

One of the residents said he believes that the pair were escapees Richard Matt and David Sweat — and one of them was carrying a guitar case as they fled, ABC News reported.

Authorities believe that the convicts stashed the tools they used to escape in a guitar case.

The witness said he asked the men why they were in his yard, and one replied, “We’re just lost. We don’t know where we are. We’re on the wrong street.’’

The residents didn’t report the incident because no one knew any prisoners had escaped at the time, sources have told The Post.

After authorities were alerted to the incident, canines were brought in and picked up a scent, but the trail quickly went cold, ABC said.

The convicts are believed to have used a small, hand-held electrical saw that Mitchell smuggled into the prison for them, as well as a 20-pound sledgehammer, to escape, sources told the Times-Union.

It’s not clear where the men got the hammer, but they used it to break the lock on the manhole cover through which they escaped outside the prison.

Authorities are also looking at whether the suspects got access to a cellphone to help plan their escape, the report said.

The pair apparently hatched their escape plot while working with Mitchell, a married, 51-year-old mom, in the prison tailor shop.

Mitchell and Sweat were known to spend a lot of time together and would regularly sit with each other during meals, sources told CBS News.